# Nonperturbative calculation of the anomalous magnetic moment in the Yukawa model within truncated Fock space

Abstract : Within the covariant formulation of light-front dynamics, we calculate the state vector of a physical fermion in the Yukawa model. The state vector is decomposed in Fock sectors and we consider the first three ones: the single constituent fermion, the constituent fermion coupled to one scalar boson, and the constituent fermion coupled to two scalar bosons. This last three-body sector generates nontrivial and nonperturbative contributions to the state vector, which are calculated numerically. Field-theoretical divergences are regularized using Pauli-Villars fermion and boson fields. Physical observables can be unambiguously deduced using a systematic renormalization scheme we have developed previously. As a first application, we consider the anomalous magnetic moment of the physical fermion.
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Preprints, Working Papers, ...
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http://hal.in2p3.fr/in2p3-00515257
Contributor : Jeanine Pellet Connect in order to contact the contributor
Submitted on : Monday, September 6, 2010 - 1:42:21 PM
Last modification on : Tuesday, April 20, 2021 - 12:00:09 PM

### Identifiers

• HAL Id : in2p3-00515257, version 1
• ARXIV : 1006.5640

### Citation

V. A. Karmanov, Jean-Francois Mathiot, A. V. Smirnov. Nonperturbative calculation of the anomalous magnetic moment in the Yukawa model within truncated Fock space. 2010. ⟨in2p3-00515257⟩

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